In this paper we use a family of Muntz polynomials and a computational technique based on the collocation method to solve the calculus variation problem. This approach is utilizedto reduce the solution of linear and nonlinear fractional order dierential equations to the solution of a system of algebraic equations. Thus we can obtain a good approximation evenby using a smaller of collocation points.
@article{26333,
title = {A collocation method for solving the fractional calculus of variation problems},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v35i1.26333},
language = {EN},
url = {http://dml.mathdoc.fr/item/26333}
}
Ahmadi, Mohammad Reza; Nasiri, Mitra. A collocation method for solving the fractional calculus of variation problems. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v35i1.26333. http://gdmltest.u-ga.fr/item/26333/